Non Mutually Exclusive Events

There are 30 children in a class and they all have at least one cat or dog. 14 children have a cat, 19 children have a dog. What is the probability that a child chosen at random from the class has both a cat and a dog?

In a group of 25 boys, 20 play ice hockey, and 17 play baseball. They all play at least one of the games.

What is the probability that a boy chosen at random from the class plays ice hockey but not baseball?

In a class of 29 children, 15 like history and 21 like math. They all like at least one of the two subjects.

What is the probability that a child chosen at random from the class likes math but not history?

In a class of 32 children, 16 have a skateboard, 12 have a bicycle and 17 have a scooter.

5 of them have a skateboard and a bicycle.

7 of them have a skateboard and a scooter.

4 of them have a bicycle and a scooter.

They all have at least one of the three things.

What is the probability that a child chosen at random from the class has a scooter but not a bicycle?

In a class of 35 children, 22 like bananas, 18 like cherries and 13 like strawberries. 7 of them like bananas and cherries. 8 of them like bananas and strawberries. 5 of them like cherries and strawberries. They all like at least one of the fruits. What is the probability that a child chosen at random from the class likes cherries only?

Which formula do you use when two events are NOT mutually exclusive?

• P(A or B) = P(A) + P(B)

• P(A or B) = P(A) + P(B) - P(both)

Of 240 students, 176 are on the honor roll, 48 are members of the varsity team, and 36 are in the honor roll and are also members of the varsity team. What is the probability that a randomly selected student is on the honor roll or is a member of the varsity team?

One card is drawn at random from a 52-deck of cards. Find the probability that it is a diamond or a King.

A card is randomly selected from a standard deck of cards. What is the probability that either a red card or a face card will be selected?

If you roll one die, what is the probability of getting an odd number or a 3?